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Finding the Fourth Proportional to 2,954.61, 4,427.78 and 1,638.96

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Solution

The fourth proportional to 2,954.61, 4,427.78 and 1,638.96 is: 2,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.61 : 4,427.78 = 1,638.96 : x
  2. Step 2: Convert to fraction form
    2,954.61/4,427.78 = 1,638.96/x
  3. Step 3: Cross multiply
    2,954.61x = 4,427.78 × 1,638.96
  4. Step 4: Simplify right side
    2,954.61x = 7,256,946.11
  5. Step 5: Solve for x
    x = 7,256,946.11/2,954.61
  6. Step 6: Final answer
    x = 2,456.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.